Two airports A and B are such that B is 500 km due East of A. At the same time, plane P and Q take off from A and B respectively. Plane P flies at 360 km/h on a bearing of 030°. Plane Q flies at 240 k

Here's the solution to problem 4, which involves calculating distances and providing instructions for drawing the positions of the planes. Problem Statement: Two airports A and B are such that B is 500 km due East of A. At the same time, plane P and Q take off from A and B respectively. Plane P flies at 360 km/h on a bearing of 030°. Plane Q flies at 240 km/h on a bearing of 315°. Both planes fly for 90 minutes. a) Draw the position of the planes after 90 minutes using a scale 1:10,000,000. Step 1: Convert flight time to hours. Time = 90 minutes = (90)/(60) hours = 1.5 hours Step 2: Calculate the actual distance travelled by each plane. Plane P (from A): Distance_P = Speed_P × Time Distance_P = 360 km/h × 1.5 h = 540 km Plane Q (from B): Distance_Q = Speed_Q × Time Distance_Q = 240 km/h × 1.5 h = 360 km Step 3: Determine the scale factor and convert actual distances to drawing lengths. The given scale is 1:10,000,000. This means 1 unit on the drawing represents 10,000,000 units in reality. Let's convert this to a more practical unit for distance: 10,000,000 cm = 100,000 m = 100 km So, 1 cm on the drawing represents 100 km in reality. Distance between A and B on drawing: Length_AB = 500 km100 km/cm = 5 cm Distance travelled by Plane P on drawing: Length_P = 540 km100 km/cm = 5.4 cm Distance travelled by Plane Q on drawing: Length_Q = 360 km100 km/cm = 3.6 cm Step 4: Instructions for drawing the positions of the planes (Part a). To draw the positions, follow these steps: 1. Establish Airport A: Choose a point on your paper, preferably towards the bottom left, and label it A. This represents Airport A. 2. **